%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG080+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:37 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG080+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:06:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.xN $$unsorted) % 0.44/0.63 (declare-const tptp.xS $$unsorted) % 0.44/0.63 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.sz00 $$unsorted) % 0.44/0.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xp $$unsorted) % 0.44/0.63 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xG $$unsorted) % 0.44/0.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xF $$unsorted) % 0.44/0.63 (declare-const tptp.sz0z00 $$unsorted) % 0.44/0.63 (declare-const tptp.xC $$unsorted) % 0.44/0.63 (declare-const tptp.xR $$unsorted) % 0.44/0.63 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xs $$unsorted) % 0.44/0.63 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xq $$unsorted) % 0.44/0.63 (declare-const tptp.xP $$unsorted) % 0.44/0.63 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.xA $$unsorted) % 0.44/0.63 (declare-const tptp.xB $$unsorted) % 0.44/0.63 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xt $$unsorted) % 0.44/0.63 (declare-const tptp.xD $$unsorted) % 0.44/0.63 (declare-const tptp.xE $$unsorted) % 0.44/0.63 (declare-const tptp.xH $$unsorted) % 0.44/0.63 (define @t1 () (@var "W0" $$unsorted)) % 0.44/0.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.44/0.63 (define @t3 () (@list @t1)) % 0.44/0.63 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.44/0.63 (define @t5 () (@var "W1" $$unsorted)) % 0.44/0.63 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.44/0.63 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.44/0.63 (define @t8 () (@list @t5)) % 0.44/0.63 (define @t9 () (= @t1 @t5)) % 0.44/0.63 (define @t10 () (and @t2 @t7)) % 0.44/0.63 (define @t11 () (@list @t1 @t5)) % 0.44/0.63 (define @t12 () (tptp.aScalar0 @t1)) % 0.44/0.63 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.44/0.63 (define @t14 () (tptp.aScalar0 @t5)) % 0.44/0.63 (define @t15 () (and @t12 @t14)) % 0.44/0.63 (define @t16 () (tptp.sdtasdt0 @t1 @t5)) % 0.44/0.63 (define @t17 () (tptp.smndt0 @t1)) % 0.44/0.63 (define @t18 () (@var "W2" $$unsorted)) % 0.44/0.63 (define @t19 () (tptp.sdtasdt0 @t5 @t18)) % 0.44/0.63 (define @t20 () (tptp.sdtpldt0 @t5 @t18)) % 0.44/0.63 (define @t21 () (tptp.aScalar0 @t18)) % 0.44/0.63 (define @t22 () (and @t12 @t14 @t21)) % 0.44/0.63 (define @t23 () (@list @t1 @t5 @t18)) % 0.44/0.63 (define @t24 () (tptp.sdtasdt0 @t1 @t18)) % 0.44/0.63 (define @t25 () (@var "W3" $$unsorted)) % 0.44/0.63 (define @t26 () (tptp.sdtasdt0 @t5 @t25)) % 0.44/0.63 (define @t27 () (and @t12 @t14 @t21 (tptp.aScalar0 @t25))) % 0.44/0.63 (define @t28 () (@list @t1 @t5 @t18 @t25)) % 0.44/0.63 (define @t29 () (tptp.smndt0 @t16)) % 0.44/0.63 (define @t30 () (tptp.smndt0 @t5)) % 0.44/0.63 (define @t31 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.44/0.63 (define @t32 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.44/0.63 (define @t33 () (tptp.sdtlseqdt0 @t18 @t25)) % 0.44/0.63 (define @t34 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.44/0.63 (define @t35 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.44/0.63 (define @t36 () (tptp.sdtasdt0 @t1 @t1)) % 0.44/0.63 (define @t37 () (tptp.aVector0 @t1)) % 0.44/0.63 (define @t38 () (tptp.aDimensionOf0 @t1)) % 0.44/0.63 (define @t39 () (tptp.aDimensionOf0 @t5)) % 0.44/0.63 (define @t40 () (tptp.aVector0 @t5)) % 0.44/0.63 (define @t41 () (tptp.sziznziztdt0 @t1)) % 0.44/0.63 (define @t42 () (tptp.sziznziztdt0 @t5)) % 0.44/0.63 (define @t43 () (= @t39 tptp.sz00)) % 0.44/0.63 (define @t44 () (not @t43)) % 0.44/0.63 (define @t45 () (= @t38 @t39)) % 0.44/0.63 (define @t46 () (and @t45 @t44)) % 0.44/0.63 (define @t47 () (and @t37 @t40)) % 0.44/0.63 (define @t48 () (tptp.sdtasasdt0 @t1 @t5)) % 0.44/0.63 (define @t49 () (= @t48 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t41 @t42) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t38) (tptp.sdtlbdtrb0 @t5 @t39))))) % 0.44/0.63 (define @t50 () (=> @t46 @t49)) % 0.44/0.63 (define @t51 () (=> @t47 @t50)) % 0.44/0.63 (define @t52 () (forall @t11 @t51)) % 0.44/0.63 (define @t53 () (tptp.sdtasasdt0 @t1 @t1)) % 0.44/0.63 (define @t54 () (tptp.aVector0 tptp.xt)) % 0.44/0.63 (define @t55 () (tptp.aVector0 tptp.xs)) % 0.44/0.63 (define @t56 () (tptp.aDimensionOf0 tptp.xs)) % 0.44/0.63 (define @t57 () (tptp.aDimensionOf0 tptp.xt)) % 0.44/0.63 (define @t58 () (= @t56 @t57)) % 0.44/0.63 (define @t59 () (tptp.sziznziztdt0 tptp.xs)) % 0.44/0.63 (define @t60 () (tptp.sziznziztdt0 tptp.xt)) % 0.44/0.63 (define @t61 () (tptp.sdtlbdtrb0 tptp.xs @t56)) % 0.44/0.63 (define @t62 () (tptp.sdtlbdtrb0 tptp.xt @t57)) % 0.44/0.63 (define @t63 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 0.44/0.63 (define @t64 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 0.44/0.63 (define @t65 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 0.44/0.63 (define @t66 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 0.44/0.63 (define @t67 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 0.44/0.63 (define @t68 () (tptp.sdtasdt0 tptp.xA tptp.xB)) % 0.44/0.63 (define @t69 () (tptp.sdtpldt0 tptp.xD tptp.xG)) % 0.44/0.63 (define @t70 () (tptp.sdtpldt0 tptp.xC tptp.xF)) % 0.44/0.63 (define @t71 () (tptp.sdtasdt0 @t70 @t69)) % 0.44/0.63 (define @t72 () (tptp.sdtpldt0 tptp.xE tptp.xH)) % 0.44/0.63 (define @t73 () (tptp.sdtasdt0 @t72 @t72)) % 0.44/0.63 (define @t74 () (tptp.sdtlseqdt0 @t73 @t71)) % 0.44/0.63 (define @t75 () (tptp.sdtasasdt0 tptp.xt tptp.xt)) % 0.44/0.63 (define @t76 () (tptp.sdtasasdt0 tptp.xs tptp.xs)) % 0.44/0.63 (define @t77 () (tptp.sdtasasdt0 tptp.xs tptp.xt)) % 0.44/0.63 (define @t78 () (= tptp.sz00 @t39)) % 0.44/0.63 (define @t79 () (not @t45)) % 0.44/0.63 (define @t80 () (not @t40)) % 0.44/0.63 (define @t81 () (not @t37)) % 0.44/0.63 (define @t82 () (or @t81 @t80 @t79 @t78 @t49)) % 0.44/0.63 (define @t83 () (or @t79 @t78 @t49)) % 0.44/0.63 (define @t84 () (not @t78)) % 0.44/0.63 (define @t85 () (and @t45 @t84)) % 0.44/0.63 (define @t86 () (=> @t85 @t49)) % 0.44/0.63 (define @t87 () (= @t75 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t60 @t60) (tptp.sdtasdt0 @t62 @t62)))) % 0.44/0.63 (define @t88 () (= tptp.sz00 @t57)) % 0.44/0.63 (define @t89 () (not @t54)) % 0.44/0.63 (define @t90 () (or @t89 @t88 @t87)) % 0.44/0.63 (define @t91 () (not (= @t57 @t57))) % 0.44/0.63 (define @t92 () (or @t89 @t89 @t91 @t88 @t87)) % 0.44/0.63 (define @t93 () (forall @t11 @t82)) % 0.44/0.63 (define @t94 () (@list false)) % 0.44/0.63 (define @t95 () (@list @t93)) % 0.44/0.63 (define @t96 () (= @t76 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t59 @t59) (tptp.sdtasdt0 @t61 @t61)))) % 0.44/0.63 (define @t97 () (= tptp.sz00 @t56)) % 0.44/0.63 (define @t98 () (not @t55)) % 0.44/0.63 (define @t99 () (or @t98 @t97 @t96)) % 0.44/0.63 (define @t100 () (not (= @t56 @t56))) % 0.44/0.63 (define @t101 () (or @t98 @t98 @t100 @t97 @t96)) % 0.44/0.63 (define @t102 () (= @t77 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t59 @t60) (tptp.sdtasdt0 @t61 @t62)))) % 0.44/0.63 (define @t103 () (not @t58)) % 0.44/0.63 (define @t104 () (or @t98 @t89 @t103 @t88 @t102)) % 0.44/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.44/0.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.44/0.63 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.44/0.63 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.44/0.63 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.44/0.63 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.44/0.63 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.44/0.63 (assume @p8 (forall @t3 (=> @t12 true))) % 0.44/0.63 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.44/0.63 (assume @p10 (forall @t11 (=> @t15 (tptp.aScalar0 @t13)))) % 0.44/0.63 (assume @p11 (forall @t11 (=> @t15 (tptp.aScalar0 @t16)))) % 0.44/0.63 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t17)))) % 0.44/0.63 (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t17) tptp.sz0z00) (= (tptp.sdtpldt0 @t17 @t1) tptp.sz0z00) (= (tptp.smndt0 @t17) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.44/0.63 (assume @p14 (forall @t23 (=> @t22 (and (= (tptp.sdtpldt0 @t13 @t18) (tptp.sdtpldt0 @t1 @t20)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t16 @t18) (tptp.sdtasdt0 @t1 @t19)) (= @t16 (tptp.sdtasdt0 @t5 @t1)))))) % 0.44/0.63 (assume @p15 (forall @t23 (=> @t22 (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t16 @t24)) (= (tptp.sdtasdt0 @t13 @t18) (tptp.sdtpldt0 @t24 @t19)))))) % 0.44/0.63 (assume @p16 (forall @t28 (=> @t27 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t18 @t25)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t24 (tptp.sdtasdt0 @t1 @t25)) (tptp.sdtpldt0 @t19 @t26)))))) % 0.44/0.63 (assume @p17 (forall @t11 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t30) @t29) (= (tptp.sdtasdt0 @t17 @t5) @t29))))) % 0.44/0.63 (assume @p18 (forall @t11 (=> @t15 (= (tptp.sdtasdt0 @t17 @t30) @t16)))) % 0.44/0.63 (assume @p19 (forall @t11 (=> @t15 (=> @t31 true)))) % 0.44/0.63 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.44/0.63 (assume @p21 (forall @t11 (=> @t15 (=> (and @t31 @t32) @t9)))) % 0.44/0.63 (assume @p22 (forall @t23 (=> @t22 (=> (and @t31 (tptp.sdtlseqdt0 @t5 @t18)) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.44/0.63 (assume @p23 (forall @t28 (=> @t27 (=> (and @t31 @t33) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t18) (tptp.sdtpldt0 @t5 @t25)))))) % 0.44/0.63 (assume @p24 (forall @t28 (=> @t27 (=> (and @t31 (tptp.sdtlseqdt0 tptp.sz0z00 @t18) @t33) (tptp.sdtlseqdt0 @t24 @t26))))) % 0.44/0.63 (assume @p25 (forall @t11 (=> @t15 (or @t31 @t32)))) % 0.44/0.63 (assume @p26 (forall @t11 (=> @t15 (=> (and @t35 @t34) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t16)))))) % 0.44/0.63 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t36)))) % 0.44/0.63 (assume @p28 (forall @t11 (=> @t15 (=> (and @t35 @t34 (= @t36 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.44/0.63 (assume @p29 (forall @t3 (=> @t37 true))) % 0.44/0.63 (assume @p30 (forall @t3 (=> @t37 (tptp.aNaturalNumber0 @t38)))) % 0.44/0.63 (assume @p31 (forall @t11 (=> (and @t37 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.44/0.63 (assume @p32 (forall @t3 (=> @t37 (=> (not (= @t38 tptp.sz00)) (forall @t8 (= (= @t5 @t41) (and @t40 (= (tptp.szszuzczcdt0 @t39) @t38) (forall (@list @t18) (=> (tptp.aNaturalNumber0 @t18) (= (tptp.sdtlbdtrb0 @t5 @t18) (tptp.sdtlbdtrb0 @t1 @t18))))))))))) % 0.44/0.63 (assume @p33 (forall @t11 (=> @t47 (=> @t46 (= (tptp.aDimensionOf0 @t41) (tptp.aDimensionOf0 @t42)))))) % 0.44/0.63 (assume @p34 (forall @t11 (=> @t47 (=> @t45 (tptp.aScalar0 @t48))))) % 0.44/0.63 (assume @p35 (forall @t11 (=> @t47 (=> (and @t45 @t43) (= @t48 tptp.sz0z00))))) % 0.44/0.63 (assume @p36 @t52) % 0.44/0.63 (assume @p37 (forall @t3 (=> @t37 (tptp.sdtlseqdt0 tptp.sz0z00 @t53)))) % 0.44/0.63 (assume @p38 (and @t55 @t54)) % 0.44/0.63 (assume @p39 (forall @t11 (=> @t47 (=> @t45 (=> (tptp.iLess0 @t38 @t56) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t48 @t48) (tptp.sdtasdt0 @t53 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.44/0.63 (assume @p40 @t58) % 0.44/0.63 (assume @p41 (not (= @t56 tptp.sz00))) % 0.44/0.63 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t56) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t59))) % 0.44/0.63 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t57) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t60))) % 0.44/0.63 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA @t61))) % 0.44/0.63 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB @t62))) % 0.44/0.63 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC @t63))) % 0.44/0.63 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD @t64))) % 0.44/0.63 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE @t65))) % 0.44/0.63 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF @t66))) % 0.44/0.63 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG @t67))) % 0.44/0.63 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH @t68))) % 0.44/0.63 (assume @p52 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.44/0.63 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.44/0.63 (assume @p54 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.44/0.63 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.44/0.63 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.44/0.63 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtpldt0 tptp.xP tptp.xP) (tptp.sdtpldt0 tptp.xR tptp.xS))) % 0.44/0.63 (assume @p58 @t74) % 0.44/0.63 (assume @p59 (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t77 @t77) (tptp.sdtasdt0 @t76 @t75)))) % 0.44/0.63 (assume @p60 true) % 0.44/0.63 (step @p61 :rule evaluate :args ((= true false))) % 0.44/0.63 (step @p62 :rule false_intro :premises (@p59)) % 0.44/0.63 (step @p63 :rule aci_norm :args ((= (or (or @t81 @t80) @t83) @t82))) % 0.44/0.63 (step @p64 :rule aci_norm :args ((= (or (or @t79 @t78) @t49) @t83))) % 0.44/0.63 (step @p65 :rule refl :args (@t49)) % 0.44/0.63 (step @p66 :rule bool-double-not-elim :args (@t78)) % 0.44/0.63 (step @p67 :rule refl :args (@t79)) % 0.44/0.63 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t79 (not @t84)))) % 0.44/0.63 (step @p69 :rule bool-and-de-morgan :args (@t45 @t84 true)) % 0.44/0.63 (step @p70 :rule trans :premises (@p69 @p68)) % 0.44/0.63 (step @p71 :rule nary_cong :premises (@p70 @p65) :args ((or (not @t85) @t49))) % 0.44/0.63 (step @p72 :rule trans :premises (@p71 @p64)) % 0.44/0.63 (step @p73 :rule bool-impl-elim :args (@t85 @t49)) % 0.44/0.63 (step @p74 :rule trans :premises (@p73 @p72)) % 0.44/0.63 (step @p75 :rule bool-and-de-morgan :args (@t37 @t40 true)) % 0.44/0.63 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t47) @t86))) % 0.44/0.63 (step @p77 :rule trans :premises (@p76 @p63)) % 0.44/0.63 (step @p78 :rule bool-impl-elim :args (@t47 @t86)) % 0.44/0.63 (step @p79 :rule trans :premises (@p78 @p77)) % 0.44/0.63 (step @p80 :rule cong :premises (@p79) :args ((forall @t11 (=> @t47 @t86)))) % 0.44/0.63 (step @p81 :rule refl :args (@t49)) % 0.44/0.63 (step @p82 :rule eq-symm :args (@t39 tptp.sz00)) % 0.44/0.63 (step @p83 :rule cong :premises (@p82) :args (@t44)) % 0.44/0.63 (step @p84 :rule refl :args (@t45)) % 0.44/0.63 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t46)) % 0.44/0.63 (step @p86 :rule cong :premises (@p85 @p81) :args (@t50)) % 0.44/0.63 (step @p87 :rule refl :args (@t47)) % 0.44/0.63 (step @p88 :rule cong :premises (@p87 @p86) :args (@t51)) % 0.44/0.63 (step @p89 :rule cong :premises (@p88) :args (@t52)) % 0.44/0.63 (step @p90 :rule trans :premises (@p89 @p80)) % 0.44/0.63 (step @p91 :rule eq_resolve :premises (@p36 @p90)) % 0.44/0.63 (step @p92 :rule aci_norm :args ((= (or @t89 @t89 false @t88 @t87) @t90))) % 0.44/0.63 (step @p93 :rule refl :args (@t87)) % 0.44/0.63 (step @p94 :rule refl :args (@t88)) % 0.44/0.63 (step @p95 :rule evaluate :args ((not true))) % 0.44/0.63 (step @p96 :rule eq-refl :args (@t57)) % 0.44/0.63 (step @p97 :rule cong :premises (@p96) :args (@t91)) % 0.44/0.63 (step @p98 :rule trans :premises (@p97 @p95)) % 0.44/0.63 (step @p99 :rule refl :args (@t89)) % 0.44/0.63 (step @p100 :rule nary_cong :premises (@p99 @p99 @p98 @p94 @p93) :args (@t92)) % 0.44/0.63 (step @p101 :rule trans :premises (@p100 @p92)) % 0.44/0.63 (step @p102 :rule refl :args (@t93)) % 0.44/0.63 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t93 @t92))) % 0.44/0.63 (assume-push @p185 @t93) % 0.44/0.63 (step @p105 :rule instantiate :premises (@p91) :args ((@list tptp.xt tptp.xt))) % 0.44/0.63 (step-pop @p186 :rule scope :premises (@p105)) % 0.44/0.63 (step @p106 :rule process_scope :premises (@p186) :args (@t92)) % 0.44/0.63 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.44/0.63 (step @p109 :rule implies_elim :premises (@p108)) % 0.44/0.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p91) :args (@t90 @t94 @t95)) % 0.44/0.63 (step @p111 :rule symm :premises (@p41)) % 0.44/0.63 (step @p112 :rule false_intro :premises (@p111)) % 0.44/0.63 (step @p113 :rule symm :premises (@p40)) % 0.44/0.63 (step @p114 :rule refl :args (tptp.sz00)) % 0.44/0.63 (step @p115 :rule cong :premises (@p114 @p113) :args (@t88)) % 0.44/0.63 (step @p116 :rule trans :premises (@p115 @p112)) % 0.44/0.63 (step @p117 :rule false_elim :premises (@p116)) % 0.44/0.63 (step @p118 :rule and_elim :premises (@p38) :args (1)) % 0.44/0.63 (step @p119 :rule cnf_or_pos :args (@t90)) % 0.44/0.63 (step @p120 :rule reordering :premises (@p119) :args ((or @t89 @t88 @t87 (not @t90)))) % 0.44/0.63 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p117 @p110) :args (@t87 (@list false true false) (@list @t54 @t88 @t90))) % 0.44/0.63 (step @p122 :rule symm :premises (@p121)) % 0.44/0.63 (step @p123 :rule and_elim :premises (@p45) :args (1)) % 0.44/0.63 (step @p124 :rule cong :premises (@p123 @p123) :args (@t67)) % 0.44/0.63 (step @p125 :rule and_elim :premises (@p50) :args (1)) % 0.44/0.63 (step @p126 :rule trans :premises (@p125 @p124)) % 0.44/0.63 (step @p127 :rule and_elim :premises (@p43) :args (3)) % 0.44/0.63 (step @p128 :rule cong :premises (@p127 @p127) :args (@t64)) % 0.44/0.63 (step @p129 :rule and_elim :premises (@p47) :args (1)) % 0.44/0.63 (step @p130 :rule trans :premises (@p129 @p128)) % 0.44/0.63 (step @p131 :rule cong :premises (@p130 @p126) :args (@t69)) % 0.44/0.63 (step @p132 :rule trans :premises (@p131 @p122)) % 0.44/0.63 (step @p133 :rule aci_norm :args ((= (or @t98 @t98 false @t97 @t96) @t99))) % 0.44/0.63 (step @p134 :rule refl :args (@t96)) % 0.44/0.63 (step @p135 :rule refl :args (@t97)) % 0.44/0.63 (step @p136 :rule eq-refl :args (@t56)) % 0.44/0.63 (step @p137 :rule cong :premises (@p136) :args (@t100)) % 0.44/0.63 (step @p138 :rule trans :premises (@p137 @p95)) % 0.44/0.63 (step @p139 :rule refl :args (@t98)) % 0.44/0.63 (step @p140 :rule nary_cong :premises (@p139 @p139 @p138 @p135 @p134) :args (@t101)) % 0.44/0.63 (step @p141 :rule trans :premises (@p140 @p133)) % 0.44/0.63 (step @p142 :rule cong :premises (@p102 @p141) :args ((=> @t93 @t101))) % 0.44/0.63 (assume-push @p187 @t93) % 0.44/0.63 (step @p144 :rule instantiate :premises (@p91) :args ((@list tptp.xs tptp.xs))) % 0.44/0.63 (step-pop @p188 :rule scope :premises (@p144)) % 0.44/0.63 (step @p145 :rule process_scope :premises (@p188) :args (@t101)) % 0.44/0.63 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.44/0.63 (step @p148 :rule implies_elim :premises (@p147)) % 0.44/0.63 (step @p149 :rule chain_m_resolution :premises (@p148 @p91) :args (@t99 @t94 @t95)) % 0.44/0.63 (step @p150 :rule and_elim :premises (@p38) :args (0)) % 0.44/0.63 (step @p151 :rule cnf_or_pos :args (@t99)) % 0.44/0.63 (step @p152 :rule reordering :premises (@p151) :args ((or @t97 @t98 @t96 (not @t99)))) % 0.44/0.63 (step @p153 :rule chain_m_resolution :premises (@p152 @p111 @p150 @p149) :args (@t96 (@list true false false) (@list @t97 @t55 @t99))) % 0.44/0.63 (step @p154 :rule symm :premises (@p153)) % 0.44/0.63 (step @p155 :rule and_elim :premises (@p44) :args (1)) % 0.44/0.63 (step @p156 :rule cong :premises (@p155 @p155) :args (@t66)) % 0.44/0.63 (step @p157 :rule and_elim :premises (@p49) :args (1)) % 0.44/0.63 (step @p158 :rule trans :premises (@p157 @p156)) % 0.44/0.63 (step @p159 :rule and_elim :premises (@p42) :args (3)) % 0.44/0.63 (step @p160 :rule cong :premises (@p159 @p159) :args (@t63)) % 0.44/0.63 (step @p161 :rule and_elim :premises (@p46) :args (1)) % 0.44/0.63 (step @p162 :rule trans :premises (@p161 @p160)) % 0.44/0.63 (step @p163 :rule cong :premises (@p162 @p158) :args (@t70)) % 0.44/0.63 (step @p164 :rule trans :premises (@p163 @p154)) % 0.44/0.63 (step @p165 :rule cong :premises (@p164 @p132) :args (@t71)) % 0.44/0.63 (step @p166 :rule instantiate :premises (@p91) :args ((@list tptp.xs tptp.xt))) % 0.44/0.63 (step @p167 :rule cnf_or_pos :args (@t104)) % 0.44/0.63 (step @p168 :rule reordering :premises (@p167) :args ((or @t98 @t89 @t103 @t88 @t102 (not @t104)))) % 0.44/0.63 (step @p169 :rule chain_m_resolution :premises (@p168 @p150 @p118 @p40 @p117 @p166) :args (@t102 (@list false false false true false) (@list @t55 @t54 @t58 @t88 @t104))) % 0.44/0.63 (step @p170 :rule symm :premises (@p169)) % 0.44/0.63 (step @p171 :rule cong :premises (@p155 @p123) :args (@t68)) % 0.44/0.63 (step @p172 :rule and_elim :premises (@p51) :args (1)) % 0.44/0.63 (step @p173 :rule trans :premises (@p172 @p171)) % 0.44/0.63 (step @p174 :rule cong :premises (@p159 @p127) :args (@t65)) % 0.44/0.63 (step @p175 :rule and_elim :premises (@p48) :args (1)) % 0.44/0.63 (step @p176 :rule trans :premises (@p175 @p174)) % 0.44/0.63 (step @p177 :rule cong :premises (@p176 @p173) :args (@t72)) % 0.44/0.63 (step @p178 :rule trans :premises (@p177 @p170)) % 0.44/0.63 (step @p179 :rule cong :premises (@p178 @p178) :args (@t73)) % 0.44/0.63 (step @p180 :rule cong :premises (@p179 @p165) :args (@t74)) % 0.44/0.63 (step @p181 :rule true_intro :premises (@p58)) % 0.44/0.63 (step @p182 :rule symm :premises (@p181)) % 0.44/0.63 (step @p183 :rule trans :premises (@p182 @p180 @p62)) % 0.44/0.63 (step @p184 false :rule eq_resolve :premises (@p183 @p61)) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------